Introduction to the study of curves and surfaces in Euclidean 3-space.
Prerequisites
Real analysis (integrals, derivatives, stokes theorem), and basic topology (compactness).
Textbooks
Riemannian Geometry, by Manfredo P. do Carmo, second edition, and
A Comprehensive Introduction to Differential Geometry, Volume 1 by Michael Spivak, third edition.
Grading
The grade is based mainly on weekly homework assignment, a midterm, and a final exam.